34927872100 has 81 divisors (see below), whose sum is σ = 83359255161. Its totient is φ = 12693568800.

The previous prime is 34927872043. The next prime is 34927872103. The reversal of 34927872100 is 127872943.

The square root of 34927872100 is 186890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12574033956 + 22353838144 = 112134^2 + 149512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34927872103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20557051 + ... + 20558749.

Almost surely, 2^34927872100 is an apocalyptic number.

34927872100 is the 186890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34927872100

34927872100 is an abundant number, since it is smaller than the sum of its proper divisors (48431383061).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34927872100 is a wasteful number, since it uses less digits than its factorization.

34927872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 34927872100 in words is "thirty-four billion, nine hundred twenty-seven million, eight hundred seventy-two thousand, one hundred".